feat: add production deployment config

- Add docker-compose.prod.yml and Caddyfile for Caddy reverse proxy
- Add production stages to frontend Dockerfile (nginx for static files)
- Fix monorepo package exports for production builds (dist/src paths)
- Add CORS_ORIGIN env var for cross-origin config
- Add Better Auth baseURL, cookie domain, and trusted origins from env
- Use VITE_API_URL for API calls in auth-client and play route
- Add credentials: include for cross-origin fetch requests
- Remove unused users table from schema

apps/web/src/routes/play.tsx

@@ -7,6 +7,8 @@ import { GameSetup } from "../components/game/GameSetup";
 import { authClient } from "../lib/auth-client";
 
 function Play() {
+  const API_URL = import.meta.env["VITE_API_URL"] || "";
+
   const [gameSession, setGameSession] = useState<GameSession | null>(null);
   const [isLoading, setIsLoading] = useState(false);
   const [currentQuestionIndex, setCurrentQuestionIndex] = useState(0);
@@ -15,9 +17,10 @@ function Play() {
 
   const startGame = useCallback(async (settings: GameRequest) => {
     setIsLoading(true);
-    const response = await fetch("/api/v1/game/start", {
+    const response = await fetch(`${API_URL}/api/v1/game/start`, {
       method: "POST",
       headers: { "Content-Type": "application/json" },
+      credentials: "include",
       body: JSON.stringify(settings),
     });
     const data = await response.json();
@@ -42,9 +45,10 @@ function Play() {
     const question = gameSession.questions[currentQuestionIndex];
     if (!question) return;
 
-    const response = await fetch("/api/v1/game/answer", {
+    const response = await fetch(`${API_URL}/api/v1/game/answer`, {
       method: "POST",
       headers: { "Content-Type": "application/json" },
+      credentials: "include",
       body: JSON.stringify({
         sessionId: gameSession.sessionId,
         questionId: question.questionId,